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Simplifying [7(p + 5) + -17] + -1[3(p + -4) + 3] = 0 Reorder the terms: [7(5 + p) + -17] + -1[3(p + -4) + 3] = 0 [(5 * 7 + p * 7) + -17] + -1[3(p + -4) + 3] = 0 [(35 + 7p) + -17] + -1[3(p + -4) + 3] = 0 Reorder the terms: [35 + -17 + 7p] + -1[3(p + -4) + 3] = 0 Combine like terms: 35 + -17 = 18 [18 + 7p] + -1[3(p + -4) + 3] = 0 Remove brackets around [18 + 7p] 18 + 7p + -1[3(p + -4) + 3] = 0 Reorder the terms: 18 + 7p + -1[3(-4 + p) + 3] = 0 18 + 7p + -1[(-4 * 3 + p * 3) + 3] = 0 18 + 7p + -1[(-12 + 3p) + 3] = 0 Reorder the terms: 18 + 7p + -1[-12 + 3 + 3p] = 0 Combine like terms: -12 + 3 = -9 18 + 7p + -1[-9 + 3p] = 0 18 + 7p + [-9 * -1 + 3p * -1] = 0 18 + 7p + [9 + -3p] = 0 Reorder the terms: 18 + 9 + 7p + -3p = 0 Combine like terms: 18 + 9 = 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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