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Simplifying 10(z + 2) = 6(x + -3) Reorder the terms: 10(2 + z) = 6(x + -3) (2 * 10 + z * 10) = 6(x + -3) (20 + 10z) = 6(x + -3) Reorder the terms: 20 + 10z = 6(-3 + x) 20 + 10z = (-3 * 6 + x * 6) 20 + 10z = (-18 + 6x) Solving 20 + 10z = -18 + 6x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 10z = -18 + -20 + 6x Combine like terms: 20 + -20 = 0 0 + 10z = -18 + -20 + 6x 10z = -18 + -20 + 6x Combine like terms: -18 + -20 = -38 10z = -38 + 6x Divide each side by '10'. z = -3.8 + 0.6x Simplifying z = -3.8 + 0.6x
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