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Simplifying -2[5 + -2(2p + 1)] + 16 = 6(4 + p) Reorder the terms: -2[5 + -2(1 + 2p)] + 16 = 6(4 + p) -2[5 + (1 * -2 + 2p * -2)] + 16 = 6(4 + p) -2[5 + (-2 + -4p)] + 16 = 6(4 + p) Combine like terms: 5 + -2 = 3 -2[3 + -4p] + 16 = 6(4 + p) [3 * -2 + -4p * -2] + 16 = 6(4 + p) [-6 + 8p] + 16 = 6(4 + p) Reorder the terms: -6 + 16 + 8p = 6(4 + p) Combine like terms: -6 + 16 = 10 10 + 8p = 6(4 + p) 10 + 8p = (4 * 6 + p * 6) 10 + 8p = (24 + 6p) Solving 10 + 8p = 24 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 10 + 8p + -6p = 24 + 6p + -6p Combine like terms: 8p + -6p = 2p 10 + 2p = 24 + 6p + -6p Combine like terms: 6p + -6p = 0 10 + 2p = 24 + 0 10 + 2p = 24 Add '-10' to each side of the equation. 10 + -10 + 2p = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2p = 24 + -10 2p = 24 + -10 Combine like terms: 24 + -10 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
| 4x^2-10x-25=0 | | 5p=90 | | 175.75w+3500=7,015 | | (x+3)-2=12 | | 4(3.25x)=x | | 8(16-3)+8= | | 22+2x=-6+6x | | 3q=39 | | 2h+2h=4h | | 0.5m+6.4=4.9+-0.1 | | -(x-5)=2(x+6) | | 8j-7=9j | | 6(x+2)+2x-4=8(x-2)+4 | | 1s+17=4s-10 | | 1s+17=4s-8 | | 2(x+3)-3(b+(-4))=16(b-6) | | 50=34-2(x-4) | | 52=2x | | 3=abs(2x)-7 | | 3(x-5)=4(7x-10) | | -15x-20=-11x+100 | | X/1300=5209 | | -8q+8q=0 | | 6(6(-1)+6)-5=1+6(-1) | | b=70+(20+9)w | | -7(3-x)+4=-2(x+3) | | 15+0.75=13+0.50 | | 9/5c+32=98.6 | | 506=-23n | | 31.4m=84.74 | | 10+5x=3x+32 | | 10=-15+n |