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Simplifying 7(3z + -4) = 5(2z + 1) Reorder the terms: 7(-4 + 3z) = 5(2z + 1) (-4 * 7 + 3z * 7) = 5(2z + 1) (-28 + 21z) = 5(2z + 1) Reorder the terms: -28 + 21z = 5(1 + 2z) -28 + 21z = (1 * 5 + 2z * 5) -28 + 21z = (5 + 10z) Solving -28 + 21z = 5 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -28 + 21z + -10z = 5 + 10z + -10z Combine like terms: 21z + -10z = 11z -28 + 11z = 5 + 10z + -10z Combine like terms: 10z + -10z = 0 -28 + 11z = 5 + 0 -28 + 11z = 5 Add '28' to each side of the equation. -28 + 28 + 11z = 5 + 28 Combine like terms: -28 + 28 = 0 0 + 11z = 5 + 28 11z = 5 + 28 Combine like terms: 5 + 28 = 33 11z = 33 Divide each side by '11'. z = 3 Simplifying z = 3
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