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Simplifying 2(9 + -3z) + -3(2z + 9) = z + -13 (9 * 2 + -3z * 2) + -3(2z + 9) = z + -13 (18 + -6z) + -3(2z + 9) = z + -13 Reorder the terms: 18 + -6z + -3(9 + 2z) = z + -13 18 + -6z + (9 * -3 + 2z * -3) = z + -13 18 + -6z + (-27 + -6z) = z + -13 Reorder the terms: 18 + -27 + -6z + -6z = z + -13 Combine like terms: 18 + -27 = -9 -9 + -6z + -6z = z + -13 Combine like terms: -6z + -6z = -12z -9 + -12z = z + -13 Reorder the terms: -9 + -12z = -13 + z Solving -9 + -12z = -13 + 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. -9 + -12z + -1z = -13 + z + -1z Combine like terms: -12z + -1z = -13z -9 + -13z = -13 + z + -1z Combine like terms: z + -1z = 0 -9 + -13z = -13 + 0 -9 + -13z = -13 Add '9' to each side of the equation. -9 + 9 + -13z = -13 + 9 Combine like terms: -9 + 9 = 0 0 + -13z = -13 + 9 -13z = -13 + 9 Combine like terms: -13 + 9 = -4 -13z = -4 Divide each side by '-13'. z = 0.3076923077 Simplifying z = 0.3076923077
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