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Simplifying -3.7 + 9(-7) = 5(t + -7.1) Multiply 9 * -7 -3.7 + -63 = 5(t + -7.1) Combine like terms: -3.7 + -63 = -66.7 -66.7 = 5(t + -7.1) Reorder the terms: -66.7 = 5(-7.1 + t) -66.7 = (-7.1 * 5 + t * 5) -66.7 = (-35.5 + 5t) Solving -66.7 = -35.5 + 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. -66.7 + -5t = -35.5 + 5t + -5t Combine like terms: 5t + -5t = 0 -66.7 + -5t = -35.5 + 0 -66.7 + -5t = -35.5 Add '66.7' to each side of the equation. -66.7 + 66.7 + -5t = -35.5 + 66.7 Combine like terms: -66.7 + 66.7 = 0.0 0.0 + -5t = -35.5 + 66.7 -5t = -35.5 + 66.7 Combine like terms: -35.5 + 66.7 = 31.2 -5t = 31.2 Divide each side by '-5'. t = -6.24 Simplifying t = -6.24
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