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Simplifying 10 + 2(z + -9) = (z + 1) + -6 Reorder the terms: 10 + 2(-9 + z) = (z + 1) + -6 10 + (-9 * 2 + z * 2) = (z + 1) + -6 10 + (-18 + 2z) = (z + 1) + -6 Combine like terms: 10 + -18 = -8 -8 + 2z = (z + 1) + -6 Reorder the terms: -8 + 2z = (1 + z) + -6 Remove parenthesis around (1 + z) -8 + 2z = 1 + z + -6 Reorder the terms: -8 + 2z = 1 + -6 + z Combine like terms: 1 + -6 = -5 -8 + 2z = -5 + z Solving -8 + 2z = -5 + 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. -8 + 2z + -1z = -5 + z + -1z Combine like terms: 2z + -1z = 1z -8 + 1z = -5 + z + -1z Combine like terms: z + -1z = 0 -8 + 1z = -5 + 0 -8 + 1z = -5 Add '8' to each side of the equation. -8 + 8 + 1z = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = -5 + 8 1z = -5 + 8 Combine like terms: -5 + 8 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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