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Simplifying 2(a + -5) = 3(2a + 1) Reorder the terms: 2(-5 + a) = 3(2a + 1) (-5 * 2 + a * 2) = 3(2a + 1) (-10 + 2a) = 3(2a + 1) Reorder the terms: -10 + 2a = 3(1 + 2a) -10 + 2a = (1 * 3 + 2a * 3) -10 + 2a = (3 + 6a) Solving -10 + 2a = 3 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -10 + 2a + -6a = 3 + 6a + -6a Combine like terms: 2a + -6a = -4a -10 + -4a = 3 + 6a + -6a Combine like terms: 6a + -6a = 0 -10 + -4a = 3 + 0 -10 + -4a = 3 Add '10' to each side of the equation. -10 + 10 + -4a = 3 + 10 Combine like terms: -10 + 10 = 0 0 + -4a = 3 + 10 -4a = 3 + 10 Combine like terms: 3 + 10 = 13 -4a = 13 Divide each side by '-4'. a = -3.25 Simplifying a = -3.25
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