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Simplifying 4(a + -5) = 7 + -5(3 + -2a) Reorder the terms: 4(-5 + a) = 7 + -5(3 + -2a) (-5 * 4 + a * 4) = 7 + -5(3 + -2a) (-20 + 4a) = 7 + -5(3 + -2a) -20 + 4a = 7 + (3 * -5 + -2a * -5) -20 + 4a = 7 + (-15 + 10a) Combine like terms: 7 + -15 = -8 -20 + 4a = -8 + 10a Solving -20 + 4a = -8 + 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. -20 + 4a + -10a = -8 + 10a + -10a Combine like terms: 4a + -10a = -6a -20 + -6a = -8 + 10a + -10a Combine like terms: 10a + -10a = 0 -20 + -6a = -8 + 0 -20 + -6a = -8 Add '20' to each side of the equation. -20 + 20 + -6a = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -6a = -8 + 20 -6a = -8 + 20 Combine like terms: -8 + 20 = 12 -6a = 12 Divide each side by '-6'. a = -2 Simplifying a = -2
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