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Simplifying -3(c + 4) + -1(-6z + -2) = 2z Reorder the terms: -3(4 + c) + -1(-6z + -2) = 2z (4 * -3 + c * -3) + -1(-6z + -2) = 2z (-12 + -3c) + -1(-6z + -2) = 2z Reorder the terms: -12 + -3c + -1(-2 + -6z) = 2z -12 + -3c + (-2 * -1 + -6z * -1) = 2z -12 + -3c + (2 + 6z) = 2z Reorder the terms: -12 + 2 + -3c + 6z = 2z Combine like terms: -12 + 2 = -10 -10 + -3c + 6z = 2z Solving -10 + -3c + 6z = 2z Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -3c + 10 + 6z = 10 + 2z Reorder the terms: -10 + 10 + -3c + 6z = 10 + 2z Combine like terms: -10 + 10 = 0 0 + -3c + 6z = 10 + 2z -3c + 6z = 10 + 2z Add '-6z' to each side of the equation. -3c + 6z + -6z = 10 + 2z + -6z Combine like terms: 6z + -6z = 0 -3c + 0 = 10 + 2z + -6z -3c = 10 + 2z + -6z Combine like terms: 2z + -6z = -4z -3c = 10 + -4z Divide each side by '-3'. c = -3.333333333 + 1.333333333z Simplifying c = -3.333333333 + 1.333333333z
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