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Simplifying 1.5(a + -1) + -15 = 3(a + 2) + 4 Reorder the terms: 1.5(-1 + a) + -15 = 3(a + 2) + 4 (-1 * 1.5 + a * 1.5) + -15 = 3(a + 2) + 4 (-1.5 + 1.5a) + -15 = 3(a + 2) + 4 Reorder the terms: -1.5 + -15 + 1.5a = 3(a + 2) + 4 Combine like terms: -1.5 + -15 = -16.5 -16.5 + 1.5a = 3(a + 2) + 4 Reorder the terms: -16.5 + 1.5a = 3(2 + a) + 4 -16.5 + 1.5a = (2 * 3 + a * 3) + 4 -16.5 + 1.5a = (6 + 3a) + 4 Reorder the terms: -16.5 + 1.5a = 6 + 4 + 3a Combine like terms: 6 + 4 = 10 -16.5 + 1.5a = 10 + 3a Solving -16.5 + 1.5a = 10 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -16.5 + 1.5a + -3a = 10 + 3a + -3a Combine like terms: 1.5a + -3a = -1.5a -16.5 + -1.5a = 10 + 3a + -3a Combine like terms: 3a + -3a = 0 -16.5 + -1.5a = 10 + 0 -16.5 + -1.5a = 10 Add '16.5' to each side of the equation. -16.5 + 16.5 + -1.5a = 10 + 16.5 Combine like terms: -16.5 + 16.5 = 0.0 0.0 + -1.5a = 10 + 16.5 -1.5a = 10 + 16.5 Combine like terms: 10 + 16.5 = 26.5 -1.5a = 26.5 Divide each side by '-1.5'. a = -17.66666667 Simplifying a = -17.66666667
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