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Simplifying 2(a + -4) = 4a + -1(29 + 4) Reorder the terms: 2(-4 + a) = 4a + -1(29 + 4) (-4 * 2 + a * 2) = 4a + -1(29 + 4) (-8 + 2a) = 4a + -1(29 + 4) Combine like terms: 29 + 4 = 33 -8 + 2a = 4a + -1(33) Multiply -1 * 33 -8 + 2a = 4a + -33 Reorder the terms: -8 + 2a = -33 + 4a Solving -8 + 2a = -33 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -8 + 2a + -4a = -33 + 4a + -4a Combine like terms: 2a + -4a = -2a -8 + -2a = -33 + 4a + -4a Combine like terms: 4a + -4a = 0 -8 + -2a = -33 + 0 -8 + -2a = -33 Add '8' to each side of the equation. -8 + 8 + -2a = -33 + 8 Combine like terms: -8 + 8 = 0 0 + -2a = -33 + 8 -2a = -33 + 8 Combine like terms: -33 + 8 = -25 -2a = -25 Divide each side by '-2'. a = 12.5 Simplifying a = 12.5
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