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Simplifying 4z + 3(6 + -1z) = (z + -4) + 10 4z + (6 * 3 + -1z * 3) = (z + -4) + 10 4z + (18 + -3z) = (z + -4) + 10 Reorder the terms: 18 + 4z + -3z = (z + -4) + 10 Combine like terms: 4z + -3z = 1z 18 + 1z = (z + -4) + 10 Reorder the terms: 18 + 1z = (-4 + z) + 10 Remove parenthesis around (-4 + z) 18 + 1z = -4 + z + 10 Reorder the terms: 18 + 1z = -4 + 10 + z Combine like terms: -4 + 10 = 6 18 + 1z = 6 + z Solving 18 + 1z = 6 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 18 + 1z + -1z = 6 + z + -1z Combine like terms: 1z + -1z = 0 18 + 0 = 6 + z + -1z 18 = 6 + z + -1z Combine like terms: z + -1z = 0 18 = 6 + 0 18 = 6 Add '-18' to each side of the equation. 18 + -18 = 6 + -18 Combine like terms: 18 + -18 = 0 0 = 6 + -18 Combine like terms: 6 + -18 = -12 0 = -12 Simplifying 0 = -12 Combine like terms: 0 + 12 = 12 12 = -12 + 12 Combine like terms: -12 + 12 = 0 12 = 0 The solution to this equation could not be determined.
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