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Simplifying 3(z + 2) + -7z = 8(-0.5z + 1) + -2 Reorder the terms: 3(2 + z) + -7z = 8(-0.5z + 1) + -2 (2 * 3 + z * 3) + -7z = 8(-0.5z + 1) + -2 (6 + 3z) + -7z = 8(-0.5z + 1) + -2 Combine like terms: 3z + -7z = -4z 6 + -4z = 8(-0.5z + 1) + -2 Reorder the terms: 6 + -4z = 8(1 + -0.5z) + -2 6 + -4z = (1 * 8 + -0.5z * 8) + -2 6 + -4z = (8 + -4z) + -2 Reorder the terms: 6 + -4z = 8 + -2 + -4z Combine like terms: 8 + -2 = 6 6 + -4z = 6 + -4z Add '-6' to each side of the equation. 6 + -6 + -4z = 6 + -6 + -4z Combine like terms: 6 + -6 = 0 0 + -4z = 6 + -6 + -4z -4z = 6 + -6 + -4z Combine like terms: 6 + -6 = 0 -4z = 0 + -4z -4z = -4z Add '4z' to each side of the equation. -4z + 4z = -4z + 4z Combine like terms: -4z + 4z = 0 0 = -4z + 4z Combine like terms: -4z + 4z = 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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