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Simplifying 3(a + -5) + 4(a + -25) = 4 Reorder the terms: 3(-5 + a) + 4(a + -25) = 4 (-5 * 3 + a * 3) + 4(a + -25) = 4 (-15 + 3a) + 4(a + -25) = 4 Reorder the terms: -15 + 3a + 4(-25 + a) = 4 -15 + 3a + (-25 * 4 + a * 4) = 4 -15 + 3a + (-100 + 4a) = 4 Reorder the terms: -15 + -100 + 3a + 4a = 4 Combine like terms: -15 + -100 = -115 -115 + 3a + 4a = 4 Combine like terms: 3a + 4a = 7a -115 + 7a = 4 Solving -115 + 7a = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '115' to each side of the equation. -115 + 115 + 7a = 4 + 115 Combine like terms: -115 + 115 = 0 0 + 7a = 4 + 115 7a = 4 + 115 Combine like terms: 4 + 115 = 119 7a = 119 Divide each side by '7'. a = 17 Simplifying a = 17
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