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Simplifying [8(c + 5) + -19] + -1[2(c + -3) + 3] = 0 Reorder the terms: [8(5 + c) + -19] + -1[2(c + -3) + 3] = 0 [(5 * 8 + c * 8) + -19] + -1[2(c + -3) + 3] = 0 [(40 + 8c) + -19] + -1[2(c + -3) + 3] = 0 Reorder the terms: [40 + -19 + 8c] + -1[2(c + -3) + 3] = 0 Combine like terms: 40 + -19 = 21 [21 + 8c] + -1[2(c + -3) + 3] = 0 Remove brackets around [21 + 8c] 21 + 8c + -1[2(c + -3) + 3] = 0 Reorder the terms: 21 + 8c + -1[2(-3 + c) + 3] = 0 21 + 8c + -1[(-3 * 2 + c * 2) + 3] = 0 21 + 8c + -1[(-6 + 2c) + 3] = 0 Reorder the terms: 21 + 8c + -1[-6 + 3 + 2c] = 0 Combine like terms: -6 + 3 = -3 21 + 8c + -1[-3 + 2c] = 0 21 + 8c + [-3 * -1 + 2c * -1] = 0 21 + 8c + [3 + -2c] = 0 Reorder the terms: 21 + 3 + 8c + -2c = 0 Combine like terms: 21 + 3 = 24 24 + 8c + -2c = 0 Combine like terms: 8c + -2c = 6c 24 + 6c = 0 Solving 24 + 6c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 6c = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 6c = 0 + -24 6c = 0 + -24 Combine like terms: 0 + -24 = -24 6c = -24 Divide each side by '6'. c = -4 Simplifying c = -4
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