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Simplifying 5(a + -4) + 2(a + 30) = a + 7 Reorder the terms: 5(-4 + a) + 2(a + 30) = a + 7 (-4 * 5 + a * 5) + 2(a + 30) = a + 7 (-20 + 5a) + 2(a + 30) = a + 7 Reorder the terms: -20 + 5a + 2(30 + a) = a + 7 -20 + 5a + (30 * 2 + a * 2) = a + 7 -20 + 5a + (60 + 2a) = a + 7 Reorder the terms: -20 + 60 + 5a + 2a = a + 7 Combine like terms: -20 + 60 = 40 40 + 5a + 2a = a + 7 Combine like terms: 5a + 2a = 7a 40 + 7a = a + 7 Reorder the terms: 40 + 7a = 7 + a Solving 40 + 7a = 7 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 40 + 7a + -1a = 7 + a + -1a Combine like terms: 7a + -1a = 6a 40 + 6a = 7 + a + -1a Combine like terms: a + -1a = 0 40 + 6a = 7 + 0 40 + 6a = 7 Add '-40' to each side of the equation. 40 + -40 + 6a = 7 + -40 Combine like terms: 40 + -40 = 0 0 + 6a = 7 + -40 6a = 7 + -40 Combine like terms: 7 + -40 = -33 6a = -33 Divide each side by '6'. a = -5.5 Simplifying a = -5.5
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