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Simplifying [8(c + 5) + -16] + [3(c + -3) + 3] = 0 Reorder the terms: [8(5 + c) + -16] + [3(c + -3) + 3] = 0 [(5 * 8 + c * 8) + -16] + [3(c + -3) + 3] = 0 [(40 + 8c) + -16] + [3(c + -3) + 3] = 0 Reorder the terms: [40 + -16 + 8c] + [3(c + -3) + 3] = 0 Combine like terms: 40 + -16 = 24 [24 + 8c] + [3(c + -3) + 3] = 0 Remove brackets around [24 + 8c] 24 + 8c + [3(c + -3) + 3] = 0 Reorder the terms: 24 + 8c + [3(-3 + c) + 3] = 0 24 + 8c + [(-3 * 3 + c * 3) + 3] = 0 24 + 8c + [(-9 + 3c) + 3] = 0 Reorder the terms: 24 + 8c + [-9 + 3 + 3c] = 0 Combine like terms: -9 + 3 = -6 24 + 8c + [-6 + 3c] = 0 Remove brackets around [-6 + 3c] 24 + 8c + -6 + 3c = 0 Reorder the terms: 24 + -6 + 8c + 3c = 0 Combine like terms: 24 + -6 = 18 18 + 8c + 3c = 0 Combine like terms: 8c + 3c = 11c 18 + 11c = 0 Solving 18 + 11c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 11c = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 11c = 0 + -18 11c = 0 + -18 Combine like terms: 0 + -18 = -18 11c = -18 Divide each side by '11'. c = -1.636363636 Simplifying c = -1.636363636
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