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Simplifying 6(5z + -1) + -4(z + 1) = 15(z + 1) Reorder the terms: 6(-1 + 5z) + -4(z + 1) = 15(z + 1) (-1 * 6 + 5z * 6) + -4(z + 1) = 15(z + 1) (-6 + 30z) + -4(z + 1) = 15(z + 1) Reorder the terms: -6 + 30z + -4(1 + z) = 15(z + 1) -6 + 30z + (1 * -4 + z * -4) = 15(z + 1) -6 + 30z + (-4 + -4z) = 15(z + 1) Reorder the terms: -6 + -4 + 30z + -4z = 15(z + 1) Combine like terms: -6 + -4 = -10 -10 + 30z + -4z = 15(z + 1) Combine like terms: 30z + -4z = 26z -10 + 26z = 15(z + 1) Reorder the terms: -10 + 26z = 15(1 + z) -10 + 26z = (1 * 15 + z * 15) -10 + 26z = (15 + 15z) Solving -10 + 26z = 15 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -10 + 26z + -15z = 15 + 15z + -15z Combine like terms: 26z + -15z = 11z -10 + 11z = 15 + 15z + -15z Combine like terms: 15z + -15z = 0 -10 + 11z = 15 + 0 -10 + 11z = 15 Add '10' to each side of the equation. -10 + 10 + 11z = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 11z = 15 + 10 11z = 15 + 10 Combine like terms: 15 + 10 = 25 11z = 25 Divide each side by '11'. z = 2.272727273 Simplifying z = 2.272727273
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