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Simplifying 4(2a + -1) = 10(a + -5) Reorder the terms: 4(-1 + 2a) = 10(a + -5) (-1 * 4 + 2a * 4) = 10(a + -5) (-4 + 8a) = 10(a + -5) Reorder the terms: -4 + 8a = 10(-5 + a) -4 + 8a = (-5 * 10 + a * 10) -4 + 8a = (-50 + 10a) Solving -4 + 8a = -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. -4 + 8a + -10a = -50 + 10a + -10a Combine like terms: 8a + -10a = -2a -4 + -2a = -50 + 10a + -10a Combine like terms: 10a + -10a = 0 -4 + -2a = -50 + 0 -4 + -2a = -50 Add '4' to each side of the equation. -4 + 4 + -2a = -50 + 4 Combine like terms: -4 + 4 = 0 0 + -2a = -50 + 4 -2a = -50 + 4 Combine like terms: -50 + 4 = -46 -2a = -46 Divide each side by '-2'. a = 23 Simplifying a = 23
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