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Simplifying a + 4(2a + 1) = 3(a + -2) + 10a Reorder the terms: a + 4(1 + 2a) = 3(a + -2) + 10a a + (1 * 4 + 2a * 4) = 3(a + -2) + 10a a + (4 + 8a) = 3(a + -2) + 10a Reorder the terms: 4 + a + 8a = 3(a + -2) + 10a Combine like terms: a + 8a = 9a 4 + 9a = 3(a + -2) + 10a Reorder the terms: 4 + 9a = 3(-2 + a) + 10a 4 + 9a = (-2 * 3 + a * 3) + 10a 4 + 9a = (-6 + 3a) + 10a Combine like terms: 3a + 10a = 13a 4 + 9a = -6 + 13a Solving 4 + 9a = -6 + 13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13a' to each side of the equation. 4 + 9a + -13a = -6 + 13a + -13a Combine like terms: 9a + -13a = -4a 4 + -4a = -6 + 13a + -13a Combine like terms: 13a + -13a = 0 4 + -4a = -6 + 0 4 + -4a = -6 Add '-4' to each side of the equation. 4 + -4 + -4a = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -4a = -6 + -4 -4a = -6 + -4 Combine like terms: -6 + -4 = -10 -4a = -10 Divide each side by '-4'. a = 2.5 Simplifying a = 2.5
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