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Simplifying 4(2a + 25) + -3(49 + -1) = 5(4a + -7) Reorder the terms: 4(25 + 2a) + -3(49 + -1) = 5(4a + -7) (25 * 4 + 2a * 4) + -3(49 + -1) = 5(4a + -7) (100 + 8a) + -3(49 + -1) = 5(4a + -7) Combine like terms: 49 + -1 = 48 100 + 8a + -3(48) = 5(4a + -7) Multiply -3 * 48 100 + 8a + -144 = 5(4a + -7) Reorder the terms: 100 + -144 + 8a = 5(4a + -7) Combine like terms: 100 + -144 = -44 -44 + 8a = 5(4a + -7) Reorder the terms: -44 + 8a = 5(-7 + 4a) -44 + 8a = (-7 * 5 + 4a * 5) -44 + 8a = (-35 + 20a) Solving -44 + 8a = -35 + 20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20a' to each side of the equation. -44 + 8a + -20a = -35 + 20a + -20a Combine like terms: 8a + -20a = -12a -44 + -12a = -35 + 20a + -20a Combine like terms: 20a + -20a = 0 -44 + -12a = -35 + 0 -44 + -12a = -35 Add '44' to each side of the equation. -44 + 44 + -12a = -35 + 44 Combine like terms: -44 + 44 = 0 0 + -12a = -35 + 44 -12a = -35 + 44 Combine like terms: -35 + 44 = 9 -12a = 9 Divide each side by '-12'. a = -0.75 Simplifying a = -0.75
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