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Simplifying 3[p + 2(p + -2)] = 4(p + -3) Reorder the terms: 3[p + 2(-2 + p)] = 4(p + -3) 3[p + (-2 * 2 + p * 2)] = 4(p + -3) 3[p + (-4 + 2p)] = 4(p + -3) Reorder the terms: 3[-4 + p + 2p] = 4(p + -3) Combine like terms: p + 2p = 3p 3[-4 + 3p] = 4(p + -3) [-4 * 3 + 3p * 3] = 4(p + -3) [-12 + 9p] = 4(p + -3) Reorder the terms: -12 + 9p = 4(-3 + p) -12 + 9p = (-3 * 4 + p * 4) -12 + 9p = (-12 + 4p) Add '12' to each side of the equation. -12 + 12 + 9p = -12 + 12 + 4p Combine like terms: -12 + 12 = 0 0 + 9p = -12 + 12 + 4p 9p = -12 + 12 + 4p Combine like terms: -12 + 12 = 0 9p = 0 + 4p 9p = 4p Solving 9p = 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 9p + -4p = 4p + -4p Combine like terms: 9p + -4p = 5p 5p = 4p + -4p Combine like terms: 4p + -4p = 0 5p = 0 Divide each side by '5'. p = 0 Simplifying p = 0
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