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Simplifying 3(-12z + -5) + 10 = 12(-3z + 5) + -61 Reorder the terms: 3(-5 + -12z) + 10 = 12(-3z + 5) + -61 (-5 * 3 + -12z * 3) + 10 = 12(-3z + 5) + -61 (-15 + -36z) + 10 = 12(-3z + 5) + -61 Reorder the terms: -15 + 10 + -36z = 12(-3z + 5) + -61 Combine like terms: -15 + 10 = -5 -5 + -36z = 12(-3z + 5) + -61 Reorder the terms: -5 + -36z = 12(5 + -3z) + -61 -5 + -36z = (5 * 12 + -3z * 12) + -61 -5 + -36z = (60 + -36z) + -61 Reorder the terms: -5 + -36z = 60 + -61 + -36z Combine like terms: 60 + -61 = -1 -5 + -36z = -1 + -36z Add '36z' to each side of the equation. -5 + -36z + 36z = -1 + -36z + 36z Combine like terms: -36z + 36z = 0 -5 + 0 = -1 + -36z + 36z -5 = -1 + -36z + 36z Combine like terms: -36z + 36z = 0 -5 = -1 + 0 -5 = -1 Solving -5 = -1 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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