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Simplifying 1(12z + 3) + -6 = -4(-3z + 4) + 14 Reorder the terms: 1(3 + 12z) + -6 = -4(-3z + 4) + 14 (3 * 1 + 12z * 1) + -6 = -4(-3z + 4) + 14 (3 + 12z) + -6 = -4(-3z + 4) + 14 Reorder the terms: 3 + -6 + 12z = -4(-3z + 4) + 14 Combine like terms: 3 + -6 = -3 -3 + 12z = -4(-3z + 4) + 14 Reorder the terms: -3 + 12z = -4(4 + -3z) + 14 -3 + 12z = (4 * -4 + -3z * -4) + 14 -3 + 12z = (-16 + 12z) + 14 Reorder the terms: -3 + 12z = -16 + 14 + 12z Combine like terms: -16 + 14 = -2 -3 + 12z = -2 + 12z Add '-12z' to each side of the equation. -3 + 12z + -12z = -2 + 12z + -12z Combine like terms: 12z + -12z = 0 -3 + 0 = -2 + 12z + -12z -3 = -2 + 12z + -12z Combine like terms: 12z + -12z = 0 -3 = -2 + 0 -3 = -2 Solving -3 = -2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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