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Simplifying 3(a + 1) + -5 = 3a + -1z Reorder the terms: 3(1 + a) + -5 = 3a + -1z (1 * 3 + a * 3) + -5 = 3a + -1z (3 + 3a) + -5 = 3a + -1z Reorder the terms: 3 + -5 + 3a = 3a + -1z Combine like terms: 3 + -5 = -2 -2 + 3a = 3a + -1z Add '-3a' to each side of the equation. -2 + 3a + -3a = 3a + -3a + -1z Combine like terms: 3a + -3a = 0 -2 + 0 = 3a + -3a + -1z -2 = 3a + -3a + -1z Combine like terms: 3a + -3a = 0 -2 = 0 + -1z -2 = -1z Solving -2 = -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -2 + z = -1z + z Combine like terms: -1z + z = 0 -2 + z = 0 Add '2' to each side of the equation. -2 + 2 + z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + z = 0 + 2 z = 0 + 2 Combine like terms: 0 + 2 = 2 z = 2 Simplifying z = 2
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