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Simplifying 4(3i + 1) = 7(i + 2) Reorder the terms: 4(1 + 3i) = 7(i + 2) (1 * 4 + 3i * 4) = 7(i + 2) (4 + 12i) = 7(i + 2) Reorder the terms: 4 + 12i = 7(2 + i) 4 + 12i = (2 * 7 + i * 7) 4 + 12i = (14 + 7i) Solving 4 + 12i = 14 + 7i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7i' to each side of the equation. 4 + 12i + -7i = 14 + 7i + -7i Combine like terms: 12i + -7i = 5i 4 + 5i = 14 + 7i + -7i Combine like terms: 7i + -7i = 0 4 + 5i = 14 + 0 4 + 5i = 14 Add '-4' to each side of the equation. 4 + -4 + 5i = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 5i = 14 + -4 5i = 14 + -4 Combine like terms: 14 + -4 = 10 5i = 10 Divide each side by '5'. i = 2 Simplifying i = 2
| 5y-6+24=5y+30-3y | | -4.3(1-3.4x)=39.838-0.6x | | 10p+46=17p+11 | | 4-4(K)=0 | | 4x+5+3x+9=8x-3 | | -4(z+4)+10=5z+30 | | B=xyw/z^2 | | 4v+18=5v | | 3y^2-8y=1 | | 3(-4)+5=3(-4)+5 | | 5x+2.5x=90 | | 5(u-4)+3u=20 | | 2(3x+6)+2(x-1)=4(x+6) | | 7p-5=9p+19 | | 5x+5-x=2-2x-6 | | 144=3x | | 38=7(v+5)-4v | | 50-15b=105-8b+44-12b | | 3x/25=-18/50 | | -12=3y+6(y-8) | | 7x+6x-88=44-9x | | 36/3y | | 10x+3=10x+5 | | h=-5t^2+100t+15 | | (6-27)=(4x+7) | | 36X^2+9Y^2-4Z^2-36=0 | | 7z-5=2(3z+12) | | -6x-6+8x=-7+6 | | 5x+14=41 | | 1x+5=1x | | .5x+.15(30)=48.5 | | 68.5/88 |