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Simplifying 2(3a + 1) = 10(a + -5) Reorder the terms: 2(1 + 3a) = 10(a + -5) (1 * 2 + 3a * 2) = 10(a + -5) (2 + 6a) = 10(a + -5) Reorder the terms: 2 + 6a = 10(-5 + a) 2 + 6a = (-5 * 10 + a * 10) 2 + 6a = (-50 + 10a) Solving 2 + 6a = -50 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 2 + 6a + -10a = -50 + 10a + -10a Combine like terms: 6a + -10a = -4a 2 + -4a = -50 + 10a + -10a Combine like terms: 10a + -10a = 0 2 + -4a = -50 + 0 2 + -4a = -50 Add '-2' to each side of the equation. 2 + -2 + -4a = -50 + -2 Combine like terms: 2 + -2 = 0 0 + -4a = -50 + -2 -4a = -50 + -2 Combine like terms: -50 + -2 = -52 -4a = -52 Divide each side by '-4'. a = 13 Simplifying a = 13
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