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Simplifying (a + -3) + (b + 2) * i = 6 + 7i Reorder the terms: (-3 + a) + (b + 2) * i = 6 + 7i Remove parenthesis around (-3 + a) -3 + a + (b + 2) * i = 6 + 7i Reorder the terms: -3 + a + (2 + b) * i = 6 + 7i Reorder the terms for easier multiplication: -3 + a + i(2 + b) = 6 + 7i -3 + a + (2 * i + b * i) = 6 + 7i Reorder the terms: -3 + a + (bi + 2i) = 6 + 7i -3 + a + (bi + 2i) = 6 + 7i Solving -3 + a + bi + 2i = 6 + 7i Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + a + bi + 3 + 2i = 6 + 3 + 7i Reorder the terms: -3 + 3 + a + bi + 2i = 6 + 3 + 7i Combine like terms: -3 + 3 = 0 0 + a + bi + 2i = 6 + 3 + 7i a + bi + 2i = 6 + 3 + 7i Combine like terms: 6 + 3 = 9 a + bi + 2i = 9 + 7i Add '-1bi' to each side of the equation. a + bi + -1bi + 2i = 9 + -1bi + 7i Combine like terms: bi + -1bi = 0 a + 0 + 2i = 9 + -1bi + 7i a + 2i = 9 + -1bi + 7i Add '-2i' to each side of the equation. a + 2i + -2i = 9 + -1bi + 7i + -2i Combine like terms: 2i + -2i = 0 a + 0 = 9 + -1bi + 7i + -2i a = 9 + -1bi + 7i + -2i Combine like terms: 7i + -2i = 5i a = 9 + -1bi + 5i Simplifying a = 9 + -1bi + 5i
| 600+.125x=3000 | | 10x-180=140 | | -7x^2+23x-6=0 | | 500-30x=130-20x | | 7x+53+3x+85=180 | | -(7x-5)-(6x-6)+6=-4(x-1)-(14x+5)+3 | | 11c+3c= | | 19-(x+7)=7x-4 | | 3w^2+33w+72= | | 5x+45-4=51 | | 10x-180=70 | | 15.77+0.05=16.52-0.12n | | a^2+59=50 | | 4x+5=x+6 | | 4/f=11/5 | | (.15)x=90 | | 46-2n= | | 8m=320 | | 3p+5=-13 | | 3(5k-3)-4(k+4)= | | -3.2x=-11.84 | | 10x-2(x-2)=8(x+1)+2 | | 56+18k=-682 | | 7c+2b=75 | | .15x=90 | | (6x+5)(2x-1)=22x-9 | | 7r+87=990 | | y=5x^6-22x^3-48 | | 9g=117 | | 16=-40y-(-8y-4) | | 25x^2-81y^2= | | .15=90/x |