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Simplifying 7c + -15 = [6(c + -3) + -4(2 + -1c)] Reorder the terms: -15 + 7c = [6(c + -3) + -4(2 + -1c)] Reorder the terms: -15 + 7c = [6(-3 + c) + -4(2 + -1c)] -15 + 7c = [(-3 * 6 + c * 6) + -4(2 + -1c)] -15 + 7c = [(-18 + 6c) + -4(2 + -1c)] -15 + 7c = [-18 + 6c + (2 * -4 + -1c * -4)] -15 + 7c = [-18 + 6c + (-8 + 4c)] Reorder the terms: -15 + 7c = [-18 + -8 + 6c + 4c] Combine like terms: -18 + -8 = -26 -15 + 7c = [-26 + 6c + 4c] Combine like terms: 6c + 4c = 10c -15 + 7c = [-26 + 10c] Remove brackets around [-26 + 10c] -15 + 7c = -26 + 10c Solving -15 + 7c = -26 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -15 + 7c + -10c = -26 + 10c + -10c Combine like terms: 7c + -10c = -3c -15 + -3c = -26 + 10c + -10c Combine like terms: 10c + -10c = 0 -15 + -3c = -26 + 0 -15 + -3c = -26 Add '15' to each side of the equation. -15 + 15 + -3c = -26 + 15 Combine like terms: -15 + 15 = 0 0 + -3c = -26 + 15 -3c = -26 + 15 Combine like terms: -26 + 15 = -11 -3c = -11 Divide each side by '-3'. c = 3.666666667 Simplifying c = 3.666666667
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