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Simplifying 5a + -5 = 2(a + 1) + 10a + 2 Reorder the terms: -5 + 5a = 2(a + 1) + 10a + 2 Reorder the terms: -5 + 5a = 2(1 + a) + 10a + 2 -5 + 5a = (1 * 2 + a * 2) + 10a + 2 -5 + 5a = (2 + 2a) + 10a + 2 Reorder the terms: -5 + 5a = 2 + 2 + 2a + 10a Combine like terms: 2 + 2 = 4 -5 + 5a = 4 + 2a + 10a Combine like terms: 2a + 10a = 12a -5 + 5a = 4 + 12a Solving -5 + 5a = 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. -5 + 5a + -12a = 4 + 12a + -12a Combine like terms: 5a + -12a = -7a -5 + -7a = 4 + 12a + -12a Combine like terms: 12a + -12a = 0 -5 + -7a = 4 + 0 -5 + -7a = 4 Add '5' to each side of the equation. -5 + 5 + -7a = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -7a = 4 + 5 -7a = 4 + 5 Combine like terms: 4 + 5 = 9 -7a = 9 Divide each side by '-7'. a = -1.285714286 Simplifying a = -1.285714286
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