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Simplifying 6(0.8 + 2z) + -3.2 = 4(3z + -0.3) + 2.8 (0.8 * 6 + 2z * 6) + -3.2 = 4(3z + -0.3) + 2.8 (4.8 + 12z) + -3.2 = 4(3z + -0.3) + 2.8 Reorder the terms: 4.8 + -3.2 + 12z = 4(3z + -0.3) + 2.8 Combine like terms: 4.8 + -3.2 = 1.6 1.6 + 12z = 4(3z + -0.3) + 2.8 Reorder the terms: 1.6 + 12z = 4(-0.3 + 3z) + 2.8 1.6 + 12z = (-0.3 * 4 + 3z * 4) + 2.8 1.6 + 12z = (-1.2 + 12z) + 2.8 Reorder the terms: 1.6 + 12z = -1.2 + 2.8 + 12z Combine like terms: -1.2 + 2.8 = 1.6 1.6 + 12z = 1.6 + 12z Add '-1.6' to each side of the equation. 1.6 + -1.6 + 12z = 1.6 + -1.6 + 12z Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 12z = 1.6 + -1.6 + 12z 12z = 1.6 + -1.6 + 12z Combine like terms: 1.6 + -1.6 = 0.0 12z = 0.0 + 12z 12z = 12z Add '-12z' to each side of the equation. 12z + -12z = 12z + -12z Combine like terms: 12z + -12z = 0 0 = 12z + -12z Combine like terms: 12z + -12z = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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