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Simplifying 7ab + -14ba + 7 = a + 10ba + -17ba Reorder the terms: 7 + 7ab + -14ab = a + 10ba + -17ba Combine like terms: 7ab + -14ab = -7ab 7 + -7ab = a + 10ba + -17ba Combine like terms: 10ab + -17ab = -7ab 7 + -7ab = a + -7ab Add '7ab' to each side of the equation. 7 + -7ab + 7ab = a + -7ab + 7ab Combine like terms: -7ab + 7ab = 0 7 + 0 = a + -7ab + 7ab 7 = a + -7ab + 7ab Combine like terms: -7ab + 7ab = 0 7 = a + 0 7 = a Solving 7 = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 7 + -1a = a + -1a Combine like terms: a + -1a = 0 7 + -1a = 0 Add '-7' to each side of the equation. 7 + -7 + -1a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 0 + -7 -1a = 0 + -7 Combine like terms: 0 + -7 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7
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