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Simplifying [7(p + 4) + -19] + -1[2(p + -3) + 3] = 0 Reorder the terms: [7(4 + p) + -19] + -1[2(p + -3) + 3] = 0 [(4 * 7 + p * 7) + -19] + -1[2(p + -3) + 3] = 0 [(28 + 7p) + -19] + -1[2(p + -3) + 3] = 0 Reorder the terms: [28 + -19 + 7p] + -1[2(p + -3) + 3] = 0 Combine like terms: 28 + -19 = 9 [9 + 7p] + -1[2(p + -3) + 3] = 0 Remove brackets around [9 + 7p] 9 + 7p + -1[2(p + -3) + 3] = 0 Reorder the terms: 9 + 7p + -1[2(-3 + p) + 3] = 0 9 + 7p + -1[(-3 * 2 + p * 2) + 3] = 0 9 + 7p + -1[(-6 + 2p) + 3] = 0 Reorder the terms: 9 + 7p + -1[-6 + 3 + 2p] = 0 Combine like terms: -6 + 3 = -3 9 + 7p + -1[-3 + 2p] = 0 9 + 7p + [-3 * -1 + 2p * -1] = 0 9 + 7p + [3 + -2p] = 0 Reorder the terms: 9 + 3 + 7p + -2p = 0 Combine like terms: 9 + 3 = 12 12 + 7p + -2p = 0 Combine like terms: 7p + -2p = 5p 12 + 5p = 0 Solving 12 + 5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5p = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5p = 0 + -12 5p = 0 + -12 Combine like terms: 0 + -12 = -12 5p = -12 Divide each side by '5'. p = -2.4 Simplifying p = -2.4
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