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Simplifying 0.3(2z + 7) + 7.9 = 0.5(2z + -4) Reorder the terms: 0.3(7 + 2z) + 7.9 = 0.5(2z + -4) (7 * 0.3 + 2z * 0.3) + 7.9 = 0.5(2z + -4) (2.1 + 0.6z) + 7.9 = 0.5(2z + -4) Reorder the terms: 2.1 + 7.9 + 0.6z = 0.5(2z + -4) Combine like terms: 2.1 + 7.9 = 10 10 + 0.6z = 0.5(2z + -4) Reorder the terms: 10 + 0.6z = 0.5(-4 + 2z) 10 + 0.6z = (-4 * 0.5 + 2z * 0.5) 10 + 0.6z = (-2 + 1z) Solving 10 + 0.6z = -2 + 1z 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. 10 + 0.6z + -1z = -2 + 1z + -1z Combine like terms: 0.6z + -1z = -0.4z 10 + -0.4z = -2 + 1z + -1z Combine like terms: 1z + -1z = 0 10 + -0.4z = -2 + 0 10 + -0.4z = -2 Add '-10' to each side of the equation. 10 + -10 + -0.4z = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -0.4z = -2 + -10 -0.4z = -2 + -10 Combine like terms: -2 + -10 = -12 -0.4z = -12 Divide each side by '-0.4'. z = 30 Simplifying z = 30
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