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Simplifying 4(2c + -3) + -2 = -6 + -8(1 + -1e) Reorder the terms: 4(-3 + 2c) + -2 = -6 + -8(1 + -1e) (-3 * 4 + 2c * 4) + -2 = -6 + -8(1 + -1e) (-12 + 8c) + -2 = -6 + -8(1 + -1e) Reorder the terms: -12 + -2 + 8c = -6 + -8(1 + -1e) Combine like terms: -12 + -2 = -14 -14 + 8c = -6 + -8(1 + -1e) -14 + 8c = -6 + (1 * -8 + -1e * -8) -14 + 8c = -6 + (-8 + 8e) Combine like terms: -6 + -8 = -14 -14 + 8c = -14 + 8e Add '14' to each side of the equation. -14 + 14 + 8c = -14 + 14 + 8e Combine like terms: -14 + 14 = 0 0 + 8c = -14 + 14 + 8e 8c = -14 + 14 + 8e Combine like terms: -14 + 14 = 0 8c = 0 + 8e 8c = 8e Solving 8c = 8e Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Divide each side by '8'. c = e Simplifying c = e
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