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Simplifying 6(8 + 2z) + -3.2 = 4(3z + -0.3) + 2.8 (8 * 6 + 2z * 6) + -3.2 = 4(3z + -0.3) + 2.8 (48 + 12z) + -3.2 = 4(3z + -0.3) + 2.8 Reorder the terms: 48 + -3.2 + 12z = 4(3z + -0.3) + 2.8 Combine like terms: 48 + -3.2 = 44.8 44.8 + 12z = 4(3z + -0.3) + 2.8 Reorder the terms: 44.8 + 12z = 4(-0.3 + 3z) + 2.8 44.8 + 12z = (-0.3 * 4 + 3z * 4) + 2.8 44.8 + 12z = (-1.2 + 12z) + 2.8 Reorder the terms: 44.8 + 12z = -1.2 + 2.8 + 12z Combine like terms: -1.2 + 2.8 = 1.6 44.8 + 12z = 1.6 + 12z Add '-12z' to each side of the equation. 44.8 + 12z + -12z = 1.6 + 12z + -12z Combine like terms: 12z + -12z = 0 44.8 + 0 = 1.6 + 12z + -12z 44.8 = 1.6 + 12z + -12z Combine like terms: 12z + -12z = 0 44.8 = 1.6 + 0 44.8 = 1.6 Solving 44.8 = 1.6 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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