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Simplifying 4 + 1.5(z + 2) = 3.5z + -7 Reorder the terms: 4 + 1.5(2 + z) = 3.5z + -7 4 + (2 * 1.5 + z * 1.5) = 3.5z + -7 4 + (3 + 1.5z) = 3.5z + -7 Combine like terms: 4 + 3 = 7 7 + 1.5z = 3.5z + -7 Reorder the terms: 7 + 1.5z = -7 + 3.5z Solving 7 + 1.5z = -7 + 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. 7 + 1.5z + -3.5z = -7 + 3.5z + -3.5z Combine like terms: 1.5z + -3.5z = -2z 7 + -2z = -7 + 3.5z + -3.5z Combine like terms: 3.5z + -3.5z = 0.0 7 + -2z = -7 + 0.0 7 + -2z = -7 Add '-7' to each side of the equation. 7 + -7 + -2z = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = -7 + -7 -2z = -7 + -7 Combine like terms: -7 + -7 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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