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Simplifying 10 + 3(a + -5) = 5a + 1 Reorder the terms: 10 + 3(-5 + a) = 5a + 1 10 + (-5 * 3 + a * 3) = 5a + 1 10 + (-15 + 3a) = 5a + 1 Combine like terms: 10 + -15 = -5 -5 + 3a = 5a + 1 Reorder the terms: -5 + 3a = 1 + 5a Solving -5 + 3a = 1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -5 + 3a + -5a = 1 + 5a + -5a Combine like terms: 3a + -5a = -2a -5 + -2a = 1 + 5a + -5a Combine like terms: 5a + -5a = 0 -5 + -2a = 1 + 0 -5 + -2a = 1 Add '5' to each side of the equation. -5 + 5 + -2a = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -2a = 1 + 5 -2a = 1 + 5 Combine like terms: 1 + 5 = 6 -2a = 6 Divide each side by '-2'. a = -3 Simplifying a = -3
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