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Simplifying 3a + -6 = 5(a + 1) + 5a + 7 Reorder the terms: -6 + 3a = 5(a + 1) + 5a + 7 Reorder the terms: -6 + 3a = 5(1 + a) + 5a + 7 -6 + 3a = (1 * 5 + a * 5) + 5a + 7 -6 + 3a = (5 + 5a) + 5a + 7 Reorder the terms: -6 + 3a = 5 + 7 + 5a + 5a Combine like terms: 5 + 7 = 12 -6 + 3a = 12 + 5a + 5a Combine like terms: 5a + 5a = 10a -6 + 3a = 12 + 10a Solving -6 + 3a = 12 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. -6 + 3a + -10a = 12 + 10a + -10a Combine like terms: 3a + -10a = -7a -6 + -7a = 12 + 10a + -10a Combine like terms: 10a + -10a = 0 -6 + -7a = 12 + 0 -6 + -7a = 12 Add '6' to each side of the equation. -6 + 6 + -7a = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -7a = 12 + 6 -7a = 12 + 6 Combine like terms: 12 + 6 = 18 -7a = 18 Divide each side by '-7'. a = -2.571428571 Simplifying a = -2.571428571
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