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Simplifying 4a + -5 = 7a + -7 Reorder the terms: -5 + 4a = 7a + -7 Reorder the terms: -5 + 4a = -7 + 7a Solving -5 + 4a = -7 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -5 + 4a + -7a = -7 + 7a + -7a Combine like terms: 4a + -7a = -3a -5 + -3a = -7 + 7a + -7a Combine like terms: 7a + -7a = 0 -5 + -3a = -7 + 0 -5 + -3a = -7 Add '5' to each side of the equation. -5 + 5 + -3a = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -3a = -7 + 5 -3a = -7 + 5 Combine like terms: -7 + 5 = -2 -3a = -2 Divide each side by '-3'. a = 0.6666666667 Simplifying a = 0.6666666667
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