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Simplifying [9(c + 5) + -15] + -1[3(c + -4) + 3] = 0 Reorder the terms: [9(5 + c) + -15] + -1[3(c + -4) + 3] = 0 [(5 * 9 + c * 9) + -15] + -1[3(c + -4) + 3] = 0 [(45 + 9c) + -15] + -1[3(c + -4) + 3] = 0 Reorder the terms: [45 + -15 + 9c] + -1[3(c + -4) + 3] = 0 Combine like terms: 45 + -15 = 30 [30 + 9c] + -1[3(c + -4) + 3] = 0 Remove brackets around [30 + 9c] 30 + 9c + -1[3(c + -4) + 3] = 0 Reorder the terms: 30 + 9c + -1[3(-4 + c) + 3] = 0 30 + 9c + -1[(-4 * 3 + c * 3) + 3] = 0 30 + 9c + -1[(-12 + 3c) + 3] = 0 Reorder the terms: 30 + 9c + -1[-12 + 3 + 3c] = 0 Combine like terms: -12 + 3 = -9 30 + 9c + -1[-9 + 3c] = 0 30 + 9c + [-9 * -1 + 3c * -1] = 0 30 + 9c + [9 + -3c] = 0 Reorder the terms: 30 + 9 + 9c + -3c = 0 Combine like terms: 30 + 9 = 39 39 + 9c + -3c = 0 Combine like terms: 9c + -3c = 6c 39 + 6c = 0 Solving 39 + 6c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 6c = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 6c = 0 + -39 6c = 0 + -39 Combine like terms: 0 + -39 = -39 6c = -39 Divide each side by '6'. c = -6.5 Simplifying c = -6.5
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