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Simplifying -1[-1(-2)] + -3(-3p + 15) = -1(-4)(p + -12) Multiply -1 * -2 -1[2] + -3(-3p + 15) = -1(-4)(p + -12) Multiply -1 * 2 -2 + -3(-3p + 15) = -1(-4)(p + -12) Reorder the terms: -2 + -3(15 + -3p) = -1(-4)(p + -12) -2 + (15 * -3 + -3p * -3) = -1(-4)(p + -12) -2 + (-45 + 9p) = -1(-4)(p + -12) Combine like terms: -2 + -45 = -47 -47 + 9p = -1(-4)(p + -12) Reorder the terms: -47 + 9p = -1 * -4(-12 + p) Multiply -1 * -4 -47 + 9p = 4(-12 + p) -47 + 9p = (-12 * 4 + p * 4) -47 + 9p = (-48 + 4p) Solving -47 + 9p = -48 + 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. -47 + 9p + -4p = -48 + 4p + -4p Combine like terms: 9p + -4p = 5p -47 + 5p = -48 + 4p + -4p Combine like terms: 4p + -4p = 0 -47 + 5p = -48 + 0 -47 + 5p = -48 Add '47' to each side of the equation. -47 + 47 + 5p = -48 + 47 Combine like terms: -47 + 47 = 0 0 + 5p = -48 + 47 5p = -48 + 47 Combine like terms: -48 + 47 = -1 5p = -1 Divide each side by '5'. p = -0.2 Simplifying p = -0.2
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