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Simplifying -10 + 2(a + 3) = 4(2a + -1) + 5 Reorder the terms: -10 + 2(3 + a) = 4(2a + -1) + 5 -10 + (3 * 2 + a * 2) = 4(2a + -1) + 5 -10 + (6 + 2a) = 4(2a + -1) + 5 Combine like terms: -10 + 6 = -4 -4 + 2a = 4(2a + -1) + 5 Reorder the terms: -4 + 2a = 4(-1 + 2a) + 5 -4 + 2a = (-1 * 4 + 2a * 4) + 5 -4 + 2a = (-4 + 8a) + 5 Reorder the terms: -4 + 2a = -4 + 5 + 8a Combine like terms: -4 + 5 = 1 -4 + 2a = 1 + 8a Solving -4 + 2a = 1 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -4 + 2a + -8a = 1 + 8a + -8a Combine like terms: 2a + -8a = -6a -4 + -6a = 1 + 8a + -8a Combine like terms: 8a + -8a = 0 -4 + -6a = 1 + 0 -4 + -6a = 1 Add '4' to each side of the equation. -4 + 4 + -6a = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -6a = 1 + 4 -6a = 1 + 4 Combine like terms: 1 + 4 = 5 -6a = 5 Divide each side by '-6'. a = -0.8333333333 Simplifying a = -0.8333333333
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