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Simplifying 4a + -7 = 5(4a + -7) + -9 Reorder the terms: -7 + 4a = 5(4a + -7) + -9 Reorder the terms: -7 + 4a = 5(-7 + 4a) + -9 -7 + 4a = (-7 * 5 + 4a * 5) + -9 -7 + 4a = (-35 + 20a) + -9 Reorder the terms: -7 + 4a = -35 + -9 + 20a Combine like terms: -35 + -9 = -44 -7 + 4a = -44 + 20a Solving -7 + 4a = -44 + 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. -7 + 4a + -20a = -44 + 20a + -20a Combine like terms: 4a + -20a = -16a -7 + -16a = -44 + 20a + -20a Combine like terms: 20a + -20a = 0 -7 + -16a = -44 + 0 -7 + -16a = -44 Add '7' to each side of the equation. -7 + 7 + -16a = -44 + 7 Combine like terms: -7 + 7 = 0 0 + -16a = -44 + 7 -16a = -44 + 7 Combine like terms: -44 + 7 = -37 -16a = -37 Divide each side by '-16'. a = 2.3125 Simplifying a = 2.3125
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