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Simplifying 2(6z + -1) + -5(z + 9) = 2(z + 1) Reorder the terms: 2(-1 + 6z) + -5(z + 9) = 2(z + 1) (-1 * 2 + 6z * 2) + -5(z + 9) = 2(z + 1) (-2 + 12z) + -5(z + 9) = 2(z + 1) Reorder the terms: -2 + 12z + -5(9 + z) = 2(z + 1) -2 + 12z + (9 * -5 + z * -5) = 2(z + 1) -2 + 12z + (-45 + -5z) = 2(z + 1) Reorder the terms: -2 + -45 + 12z + -5z = 2(z + 1) Combine like terms: -2 + -45 = -47 -47 + 12z + -5z = 2(z + 1) Combine like terms: 12z + -5z = 7z -47 + 7z = 2(z + 1) Reorder the terms: -47 + 7z = 2(1 + z) -47 + 7z = (1 * 2 + z * 2) -47 + 7z = (2 + 2z) Solving -47 + 7z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -47 + 7z + -2z = 2 + 2z + -2z Combine like terms: 7z + -2z = 5z -47 + 5z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -47 + 5z = 2 + 0 -47 + 5z = 2 Add '47' to each side of the equation. -47 + 47 + 5z = 2 + 47 Combine like terms: -47 + 47 = 0 0 + 5z = 2 + 47 5z = 2 + 47 Combine like terms: 2 + 47 = 49 5z = 49 Divide each side by '5'. z = 9.8 Simplifying z = 9.8
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