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Simplifying 3a + -3 = 8(a + 1) + 11a + 7 Reorder the terms: -3 + 3a = 8(a + 1) + 11a + 7 Reorder the terms: -3 + 3a = 8(1 + a) + 11a + 7 -3 + 3a = (1 * 8 + a * 8) + 11a + 7 -3 + 3a = (8 + 8a) + 11a + 7 Reorder the terms: -3 + 3a = 8 + 7 + 8a + 11a Combine like terms: 8 + 7 = 15 -3 + 3a = 15 + 8a + 11a Combine like terms: 8a + 11a = 19a -3 + 3a = 15 + 19a Solving -3 + 3a = 15 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. -3 + 3a + -19a = 15 + 19a + -19a Combine like terms: 3a + -19a = -16a -3 + -16a = 15 + 19a + -19a Combine like terms: 19a + -19a = 0 -3 + -16a = 15 + 0 -3 + -16a = 15 Add '3' to each side of the equation. -3 + 3 + -16a = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -16a = 15 + 3 -16a = 15 + 3 Combine like terms: 15 + 3 = 18 -16a = 18 Divide each side by '-16'. a = -1.125 Simplifying a = -1.125
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