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Simplifying 0.5(4z + 6) + 10.22 = 0.7(4z + -4) Reorder the terms: 0.5(6 + 4z) + 10.22 = 0.7(4z + -4) (6 * 0.5 + 4z * 0.5) + 10.22 = 0.7(4z + -4) (3 + 2z) + 10.22 = 0.7(4z + -4) Reorder the terms: 3 + 10.22 + 2z = 0.7(4z + -4) Combine like terms: 3 + 10.22 = 13.22 13.22 + 2z = 0.7(4z + -4) Reorder the terms: 13.22 + 2z = 0.7(-4 + 4z) 13.22 + 2z = (-4 * 0.7 + 4z * 0.7) 13.22 + 2z = (-2.8 + 2.8z) Solving 13.22 + 2z = -2.8 + 2.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.8z' to each side of the equation. 13.22 + 2z + -2.8z = -2.8 + 2.8z + -2.8z Combine like terms: 2z + -2.8z = -0.8z 13.22 + -0.8z = -2.8 + 2.8z + -2.8z Combine like terms: 2.8z + -2.8z = 0.0 13.22 + -0.8z = -2.8 + 0.0 13.22 + -0.8z = -2.8 Add '-13.22' to each side of the equation. 13.22 + -13.22 + -0.8z = -2.8 + -13.22 Combine like terms: 13.22 + -13.22 = 0.00 0.00 + -0.8z = -2.8 + -13.22 -0.8z = -2.8 + -13.22 Combine like terms: -2.8 + -13.22 = -16.02 -0.8z = -16.02 Divide each side by '-0.8'. z = 20.025 Simplifying z = 20.025
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