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Simplifying 2(3z + -5) = 11(z + -15) Reorder the terms: 2(-5 + 3z) = 11(z + -15) (-5 * 2 + 3z * 2) = 11(z + -15) (-10 + 6z) = 11(z + -15) Reorder the terms: -10 + 6z = 11(-15 + z) -10 + 6z = (-15 * 11 + z * 11) -10 + 6z = (-165 + 11z) Solving -10 + 6z = -165 + 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. -10 + 6z + -11z = -165 + 11z + -11z Combine like terms: 6z + -11z = -5z -10 + -5z = -165 + 11z + -11z Combine like terms: 11z + -11z = 0 -10 + -5z = -165 + 0 -10 + -5z = -165 Add '10' to each side of the equation. -10 + 10 + -5z = -165 + 10 Combine like terms: -10 + 10 = 0 0 + -5z = -165 + 10 -5z = -165 + 10 Combine like terms: -165 + 10 = -155 -5z = -155 Divide each side by '-5'. z = 31 Simplifying z = 31
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