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Simplifying [8(c + 5) + -15] + [3(c + -2) + 1] = 0 Reorder the terms: [8(5 + c) + -15] + [3(c + -2) + 1] = 0 [(5 * 8 + c * 8) + -15] + [3(c + -2) + 1] = 0 [(40 + 8c) + -15] + [3(c + -2) + 1] = 0 Reorder the terms: [40 + -15 + 8c] + [3(c + -2) + 1] = 0 Combine like terms: 40 + -15 = 25 [25 + 8c] + [3(c + -2) + 1] = 0 Remove brackets around [25 + 8c] 25 + 8c + [3(c + -2) + 1] = 0 Reorder the terms: 25 + 8c + [3(-2 + c) + 1] = 0 25 + 8c + [(-2 * 3 + c * 3) + 1] = 0 25 + 8c + [(-6 + 3c) + 1] = 0 Reorder the terms: 25 + 8c + [-6 + 1 + 3c] = 0 Combine like terms: -6 + 1 = -5 25 + 8c + [-5 + 3c] = 0 Remove brackets around [-5 + 3c] 25 + 8c + -5 + 3c = 0 Reorder the terms: 25 + -5 + 8c + 3c = 0 Combine like terms: 25 + -5 = 20 20 + 8c + 3c = 0 Combine like terms: 8c + 3c = 11c 20 + 11c = 0 Solving 20 + 11c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 11c = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 11c = 0 + -20 11c = 0 + -20 Combine like terms: 0 + -20 = -20 11c = -20 Divide each side by '11'. c = -1.818181818 Simplifying c = -1.818181818
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