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Simplifying 14(4z + 3) = 14z + 21 Reorder the terms: 14(3 + 4z) = 14z + 21 (3 * 14 + 4z * 14) = 14z + 21 (42 + 56z) = 14z + 21 Reorder the terms: 42 + 56z = 21 + 14z Solving 42 + 56z = 21 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 42 + 56z + -14z = 21 + 14z + -14z Combine like terms: 56z + -14z = 42z 42 + 42z = 21 + 14z + -14z Combine like terms: 14z + -14z = 0 42 + 42z = 21 + 0 42 + 42z = 21 Add '-42' to each side of the equation. 42 + -42 + 42z = 21 + -42 Combine like terms: 42 + -42 = 0 0 + 42z = 21 + -42 42z = 21 + -42 Combine like terms: 21 + -42 = -21 42z = -21 Divide each side by '42'. z = -0.5 Simplifying z = -0.5
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