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Simplifying 5 + 1.5(z + 4) = 3.5z + -3 Reorder the terms: 5 + 1.5(4 + z) = 3.5z + -3 5 + (4 * 1.5 + z * 1.5) = 3.5z + -3 5 + (6 + 1.5z) = 3.5z + -3 Combine like terms: 5 + 6 = 11 11 + 1.5z = 3.5z + -3 Reorder the terms: 11 + 1.5z = -3 + 3.5z Solving 11 + 1.5z = -3 + 3.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.5z' to each side of the equation. 11 + 1.5z + -3.5z = -3 + 3.5z + -3.5z Combine like terms: 1.5z + -3.5z = -2z 11 + -2z = -3 + 3.5z + -3.5z Combine like terms: 3.5z + -3.5z = 0.0 11 + -2z = -3 + 0.0 11 + -2z = -3 Add '-11' to each side of the equation. 11 + -11 + -2z = -3 + -11 Combine like terms: 11 + -11 = 0 0 + -2z = -3 + -11 -2z = -3 + -11 Combine like terms: -3 + -11 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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