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Simplifying [7(p + 5) + -16] + -1[3(p + -3) + 1] = 0 Reorder the terms: [7(5 + p) + -16] + -1[3(p + -3) + 1] = 0 [(5 * 7 + p * 7) + -16] + -1[3(p + -3) + 1] = 0 [(35 + 7p) + -16] + -1[3(p + -3) + 1] = 0 Reorder the terms: [35 + -16 + 7p] + -1[3(p + -3) + 1] = 0 Combine like terms: 35 + -16 = 19 [19 + 7p] + -1[3(p + -3) + 1] = 0 Remove brackets around [19 + 7p] 19 + 7p + -1[3(p + -3) + 1] = 0 Reorder the terms: 19 + 7p + -1[3(-3 + p) + 1] = 0 19 + 7p + -1[(-3 * 3 + p * 3) + 1] = 0 19 + 7p + -1[(-9 + 3p) + 1] = 0 Reorder the terms: 19 + 7p + -1[-9 + 1 + 3p] = 0 Combine like terms: -9 + 1 = -8 19 + 7p + -1[-8 + 3p] = 0 19 + 7p + [-8 * -1 + 3p * -1] = 0 19 + 7p + [8 + -3p] = 0 Reorder the terms: 19 + 8 + 7p + -3p = 0 Combine like terms: 19 + 8 = 27 27 + 7p + -3p = 0 Combine like terms: 7p + -3p = 4p 27 + 4p = 0 Solving 27 + 4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 4p = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 4p = 0 + -27 4p = 0 + -27 Combine like terms: 0 + -27 = -27 4p = -27 Divide each side by '4'. p = -6.75 Simplifying p = -6.75
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