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Simplifying 3 + -7t = -5t + 3(a + -7) Reorder the terms: 3 + -7t = -5t + 3(-7 + a) 3 + -7t = -5t + (-7 * 3 + a * 3) 3 + -7t = -5t + (-21 + 3a) Reorder the terms: 3 + -7t = -21 + 3a + -5t Solving 3 + -7t = -21 + 3a + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. 3 + -7t + 5t = -21 + 3a + -5t + 5t Combine like terms: -7t + 5t = -2t 3 + -2t = -21 + 3a + -5t + 5t Combine like terms: -5t + 5t = 0 3 + -2t = -21 + 3a + 0 3 + -2t = -21 + 3a Add '-3' to each side of the equation. 3 + -3 + -2t = -21 + -3 + 3a Combine like terms: 3 + -3 = 0 0 + -2t = -21 + -3 + 3a -2t = -21 + -3 + 3a Combine like terms: -21 + -3 = -24 -2t = -24 + 3a Divide each side by '-2'. t = 12 + -1.5a Simplifying t = 12 + -1.5a
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