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Simplifying 3(2c + -5) + -4(2 + -1c) = 3(4c + -5) Reorder the terms: 3(-5 + 2c) + -4(2 + -1c) = 3(4c + -5) (-5 * 3 + 2c * 3) + -4(2 + -1c) = 3(4c + -5) (-15 + 6c) + -4(2 + -1c) = 3(4c + -5) -15 + 6c + (2 * -4 + -1c * -4) = 3(4c + -5) -15 + 6c + (-8 + 4c) = 3(4c + -5) Reorder the terms: -15 + -8 + 6c + 4c = 3(4c + -5) Combine like terms: -15 + -8 = -23 -23 + 6c + 4c = 3(4c + -5) Combine like terms: 6c + 4c = 10c -23 + 10c = 3(4c + -5) Reorder the terms: -23 + 10c = 3(-5 + 4c) -23 + 10c = (-5 * 3 + 4c * 3) -23 + 10c = (-15 + 12c) Solving -23 + 10c = -15 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -23 + 10c + -12c = -15 + 12c + -12c Combine like terms: 10c + -12c = -2c -23 + -2c = -15 + 12c + -12c Combine like terms: 12c + -12c = 0 -23 + -2c = -15 + 0 -23 + -2c = -15 Add '23' to each side of the equation. -23 + 23 + -2c = -15 + 23 Combine like terms: -23 + 23 = 0 0 + -2c = -15 + 23 -2c = -15 + 23 Combine like terms: -15 + 23 = 8 -2c = 8 Divide each side by '-2'. c = -4 Simplifying c = -4
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