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Simplifying 10(a + -5) = -2(a + 1) Reorder the terms: 10(-5 + a) = -2(a + 1) (-5 * 10 + a * 10) = -2(a + 1) (-50 + 10a) = -2(a + 1) Reorder the terms: -50 + 10a = -2(1 + a) -50 + 10a = (1 * -2 + a * -2) -50 + 10a = (-2 + -2a) Solving -50 + 10a = -2 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -50 + 10a + 2a = -2 + -2a + 2a Combine like terms: 10a + 2a = 12a -50 + 12a = -2 + -2a + 2a Combine like terms: -2a + 2a = 0 -50 + 12a = -2 + 0 -50 + 12a = -2 Add '50' to each side of the equation. -50 + 50 + 12a = -2 + 50 Combine like terms: -50 + 50 = 0 0 + 12a = -2 + 50 12a = -2 + 50 Combine like terms: -2 + 50 = 48 12a = 48 Divide each side by '12'. a = 4 Simplifying a = 4
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