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Simplifying 5(4a + -7) + 5 = 5a + 45 Reorder the terms: 5(-7 + 4a) + 5 = 5a + 45 (-7 * 5 + 4a * 5) + 5 = 5a + 45 (-35 + 20a) + 5 = 5a + 45 Reorder the terms: -35 + 5 + 20a = 5a + 45 Combine like terms: -35 + 5 = -30 -30 + 20a = 5a + 45 Reorder the terms: -30 + 20a = 45 + 5a Solving -30 + 20a = 45 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -30 + 20a + -5a = 45 + 5a + -5a Combine like terms: 20a + -5a = 15a -30 + 15a = 45 + 5a + -5a Combine like terms: 5a + -5a = 0 -30 + 15a = 45 + 0 -30 + 15a = 45 Add '30' to each side of the equation. -30 + 30 + 15a = 45 + 30 Combine like terms: -30 + 30 = 0 0 + 15a = 45 + 30 15a = 45 + 30 Combine like terms: 45 + 30 = 75 15a = 75 Divide each side by '15'. a = 5 Simplifying a = 5
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