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Simplifying 2a + -7 = 3(a + 1) + 9a + 1 Reorder the terms: -7 + 2a = 3(a + 1) + 9a + 1 Reorder the terms: -7 + 2a = 3(1 + a) + 9a + 1 -7 + 2a = (1 * 3 + a * 3) + 9a + 1 -7 + 2a = (3 + 3a) + 9a + 1 Reorder the terms: -7 + 2a = 3 + 1 + 3a + 9a Combine like terms: 3 + 1 = 4 -7 + 2a = 4 + 3a + 9a Combine like terms: 3a + 9a = 12a -7 + 2a = 4 + 12a Solving -7 + 2a = 4 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -7 + 2a + -12a = 4 + 12a + -12a Combine like terms: 2a + -12a = -10a -7 + -10a = 4 + 12a + -12a Combine like terms: 12a + -12a = 0 -7 + -10a = 4 + 0 -7 + -10a = 4 Add '7' to each side of the equation. -7 + 7 + -10a = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -10a = 4 + 7 -10a = 4 + 7 Combine like terms: 4 + 7 = 11 -10a = 11 Divide each side by '-10'. a = -1.1 Simplifying a = -1.1
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