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Simplifying 2(-3p + -6) = 3[-4p + -3(p + 2)] Reorder the terms: 2(-6 + -3p) = 3[-4p + -3(p + 2)] (-6 * 2 + -3p * 2) = 3[-4p + -3(p + 2)] (-12 + -6p) = 3[-4p + -3(p + 2)] Reorder the terms: -12 + -6p = 3[-4p + -3(2 + p)] -12 + -6p = 3[-4p + (2 * -3 + p * -3)] -12 + -6p = 3[-4p + (-6 + -3p)] Reorder the terms: -12 + -6p = 3[-6 + -4p + -3p] Combine like terms: -4p + -3p = -7p -12 + -6p = 3[-6 + -7p] -12 + -6p = [-6 * 3 + -7p * 3] -12 + -6p = [-18 + -21p] Solving -12 + -6p = -18 + -21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21p' to each side of the equation. -12 + -6p + 21p = -18 + -21p + 21p Combine like terms: -6p + 21p = 15p -12 + 15p = -18 + -21p + 21p Combine like terms: -21p + 21p = 0 -12 + 15p = -18 + 0 -12 + 15p = -18 Add '12' to each side of the equation. -12 + 12 + 15p = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 15p = -18 + 12 15p = -18 + 12 Combine like terms: -18 + 12 = -6 15p = -6 Divide each side by '15'. p = -0.4 Simplifying p = -0.4
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