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Simplifying 5(z + -4) + z = 6(z + -2) + -8 Reorder the terms: 5(-4 + z) + z = 6(z + -2) + -8 (-4 * 5 + z * 5) + z = 6(z + -2) + -8 (-20 + 5z) + z = 6(z + -2) + -8 Combine like terms: 5z + z = 6z -20 + 6z = 6(z + -2) + -8 Reorder the terms: -20 + 6z = 6(-2 + z) + -8 -20 + 6z = (-2 * 6 + z * 6) + -8 -20 + 6z = (-12 + 6z) + -8 Reorder the terms: -20 + 6z = -12 + -8 + 6z Combine like terms: -12 + -8 = -20 -20 + 6z = -20 + 6z Add '20' to each side of the equation. -20 + 20 + 6z = -20 + 20 + 6z Combine like terms: -20 + 20 = 0 0 + 6z = -20 + 20 + 6z 6z = -20 + 20 + 6z Combine like terms: -20 + 20 = 0 6z = 0 + 6z 6z = 6z Add '-6z' to each side of the equation. 6z + -6z = 6z + -6z Combine like terms: 6z + -6z = 0 0 = 6z + -6z Combine like terms: 6z + -6z = 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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